电磁逆散射非相关照射法的普遍公式

A GENERAL FORMULA OF UNRELATED ILLUMINATION METHOD FOR THE EM INVERSE SCATTERING PROBLEM

由第一类Fredholm积分方程所描述的电磁逆散射问题是非适定问题。通过一系列非相关照射,有可能获得散射体的更多信息,从而改善解的非适定性。本文基于求解逆散射问题的非相关原理,推导了适于散射体在各种正交基下展开,求解电磁逆散射的普遍公式,并对所建立的参数反演公式解的唯一性进行了证明。

The electromagnetic inverse scattering problem governed by the first kind of Fredholm integral equation is an ill-posed problem. By the aid of a series of unrelated illuminations, more information about the considered object can be obtained and then a stable moment solution is achieved. On the basis of the unrelated illumination method(UIM), the paper derived a general formula that is suitable for solving the electromagnetic inverse problem, for which the object to be reconstructed may be expanded in various sets of orthogonal bases. The uniqueness of the solution has been proved.